What is the amount of risk Lemonade Insurance Company faces if they sell contracts to both Rainie and Justin? Show your work d.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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part D

Now suppose Justin owns a $600,000 house and has a 5% chance of experiencing a fire
in any given year. Assume as before that the fire will result in a total loss. Suppose the
Lemonade Insurance Company offers Rainie and Justin the same insurance contract
and charges them the same premium. In other words, they put Rainie and Justin into
the same risk pool.
What is the probability distribution of total losses for Lemonade Insurance
Company if they sell contracts to Rainie and Justin? Show your work|
a.
b.
What premium must Lemonade Insurance Company charge each of Rainie and
Justin if they want to 'break even'? Show your work
Will Rainie purchase this contract if she is charged the 'break-even' premium?
Will Justin purchase this contact if he is charged the 'break-even' premium?
Briefly explain your reason.
C.
d.
What is the amount of risk Lemonade Insurance Company faces if they sell
contracts to both Rainie and Justin? Show your work
3.
Transcribed Image Text:Now suppose Justin owns a $600,000 house and has a 5% chance of experiencing a fire in any given year. Assume as before that the fire will result in a total loss. Suppose the Lemonade Insurance Company offers Rainie and Justin the same insurance contract and charges them the same premium. In other words, they put Rainie and Justin into the same risk pool. What is the probability distribution of total losses for Lemonade Insurance Company if they sell contracts to Rainie and Justin? Show your work| a. b. What premium must Lemonade Insurance Company charge each of Rainie and Justin if they want to 'break even'? Show your work Will Rainie purchase this contract if she is charged the 'break-even' premium? Will Justin purchase this contact if he is charged the 'break-even' premium? Briefly explain your reason. C. d. What is the amount of risk Lemonade Insurance Company faces if they sell contracts to both Rainie and Justin? Show your work 3.
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